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Simplifying 10x + 20 + 14x + -6 = 7x + 31 Reorder the terms: 20 + -6 + 10x + 14x = 7x + 31 Combine like terms: 20 + -6 = 14 14 + 10x + 14x = 7x + 31 Combine like terms: 10x + 14x = 24x 14 + 24x = 7x + 31 Reorder the terms: 14 + 24x = 31 + 7x Solving 14 + 24x = 31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + 24x + -7x = 31 + 7x + -7x Combine like terms: 24x + -7x = 17x 14 + 17x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + 17x = 31 + 0 14 + 17x = 31 Add '-14' to each side of the equation. 14 + -14 + 17x = 31 + -14 Combine like terms: 14 + -14 = 0 0 + 17x = 31 + -14 17x = 31 + -14 Combine like terms: 31 + -14 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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